Trigonometric Limits Demo (sin t)/t and (1-cos t)/t

Trigonometric Limits Demo (sin t)/t and (1-cos t)/t
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2019-09-10 14:27
This example dynamically demonstrates the limits of (sin t)/t and (1-cos t)/t as t approaches 0, providing geometric intuition for limit calculations. Core math concepts include trigonometric limits, limit computation, and geometric visualization. GeoGebra commands/objects used for construction are Intersect, Circle, Point, Segment, OrthogonalLine, CircleSector, and CircleArc. Suitable for high school calculus students to understand the geometric meaning and computation of limits.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, B) → c
  3. Point(c) → C
  4. Segment(A, C) → f
  5. OrthogonalLine(C, xAxis) → g
  6. Intersect(g, xAxis) → D
  7. Segment(C, D) → h
  8. Segment(C, B) → i
  9. Segment(D, C) → j
  10. CircleSector(A, B, C) → d
  11. CircleArc(A, B, C) → θ
  12. Segment(A, D) → k
  13. Segment(D, B) → l